Greatest Common Factor of 500/102, 2510/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/102, 2510/898

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 500/102,2510/898

Given fractions are 500/102,2510/898

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 500,2510

Greatest Common Factor of Numerators i.e. GCF of 500,2510 is 10 .

LCM of Denominators means LCM of 102,898 as per the given fractions.

LCM of 102,898 is 45798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,2510

GCF of Fractions 500/102,2510/898 is 10/45798

2 500, 2510
5 250, 1255
50, 251

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 500,2510 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,2510 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1,2,5,10,251,502,1255,2510

Greatest Common Factor

We found the factors 500,2510 . The biggest common factor number is the GCF number.
So the greatest common factor 500,2510 is 10.

Lets's calculate LCM of 102,898

2 102, 898
51, 449

∴ So the LCM of the given numbers is 2 x 51 x 449 = 45798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/45798

Therefore, the GCF of Fractions 500/102,2510/898 is 10/45798

Least Common Multiple of 102,898 with GCF Formula

Least Common Multiple of 102,898 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 102,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,898) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(102,898) x common factors =2 x 1 = 2

LCM(102,898) = ( 102 × 898 ) / 2

LCM(102,898) = 91596 / 2

LCM(102,898) = 45798


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 500/102, 2510/898

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 500/102, 2510/898?

Answer: GCF of Numerators as per given numbers 500/102, 2510/898 is

GCF of Numerators i.e. for 500,2510 is 10

LCM of denominators i.e. for 102,898 is 45798.

Thus, GCF of Fractions is 10/45798.Finally, GCF of Fractions for 500/102, 2510/898 is 10/45798.